# Answer to Question #11226 in Abstract Algebra for Mallory

Question #11226

On one of your space voyages, you uncover an alien document in which some counting is done: aty, ger, ryk, aty-aty, aty-ger, aty-ryk. What base does this alien civilization apparently use?

Then, continue counting through twenty in that system.

Then, continue counting through twenty in that system.

Expert's answer

Base here is 3. So, the following count will be:

7 ger-aty

8 ger-ger

9 ger-ryk

10 ryk-aty

11 ryk-ger

12 ryk-ryk

13 aty-aty-aty

14 aty-aty-ger

15 aty-aty-ryk

16 aty-ger-aty

17 aty-ger-ger

18 aty-ger-ryk

19 aty-ryk-aty

20 aty-ryk-ger

7 ger-aty

8 ger-ger

9 ger-ryk

10 ryk-aty

11 ryk-ger

12 ryk-ryk

13 aty-aty-aty

14 aty-aty-ger

15 aty-aty-ryk

16 aty-ger-aty

17 aty-ger-ger

18 aty-ger-ryk

19 aty-ryk-aty

20 aty-ryk-ger

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